Torsion pairs in a triangulated category generated by a spherical object

2014/04/17 by Simoes, Raquel Coelho, Pauksztello, David · 1 citation
#05E10 #16G20 #16G70 #18E30 #18E40 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1404.4623

Abstract

We extend Ng's characterisation of torsion pairs in the 2-Calabi-Yau triangulated category generated by a 2-spherical object to the characterisation of torsion pairs in the w-Calabi-Yau triangulated category, T_w, generated by a w-spherical object for any integer w. Inspired by the combinatorics of T_w for w < 0, we also characterise the torsion pairs in a certain w-Calabi-Yau orbit category of the bounded derived category of the path algebra of Dynkin type A.

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